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Finding the Fourth Proportional to 266.23, 399.20 and 83.57

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Solution

The fourth proportional to 266.23, 399.20 and 83.57 is: 125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.23 : 399.20 = 83.57 : x
  2. Step 2: Convert to fraction form
    266.23/399.20 = 83.57/x
  3. Step 3: Cross multiply
    266.23x = 399.20 × 83.57
  4. Step 4: Simplify right side
    266.23x = 33,361.14
  5. Step 5: Solve for x
    x = 33,361.14/266.23
  6. Step 6: Final answer
    x = 125.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.